A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?
A. 4914
B. 3630
C. 3724
D. 3824
Answer: Option A
Solution(By Examveda Team)
Three possibilities: (1W+6M), (2W+5M), (3W+4M) = (6C1 × 9C6) + (6C2 × 9C5) + (6C3 × 9C4)= 4914
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Comments ( 1 )
Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
Why we can't form 4women and 3 men